{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 数据处理\n",
    "\n",
    "## 引入第三方包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "from PIL import Image\n",
    "from keras import backend as K\n",
    "\n",
    "import random\n",
    "import glob\n",
    "\n",
    "import numpy as np\n",
    "import tensorflow.gfile as gfile\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 定义超参数和字符集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "NUMBER = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']\n",
    "LOWERCASE = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u',\n",
    "            'v', 'w', 'x', 'y', 'z']\n",
    "UPPERCASE = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U',\n",
    "           'V', 'W', 'X', 'Y', 'Z']\n",
    "\n",
    "CAPTCHA_CHARSET = NUMBER   # 验证码字符集\n",
    "CAPTCHA_LEN = 4            # 验证码长度\n",
    "CAPTCHA_HEIGHT = 60        # 验证码高度\n",
    "CAPTCHA_WIDTH = 160        # 验证码宽度\n",
    "\n",
    "TRAIN_DATA_DIR = './train-data/' # 验证码数据集目录"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取训练集前 100 张图片，并通过文件名解析验证码（标签）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "image = []\n",
    "text = []\n",
    "count = 0\n",
    "for filename in glob.glob(TRAIN_DATA_DIR + '*.png'):\n",
    "    image.append(np.array(Image.open(filename)))\n",
    "    text.append(filename.lstrip(TRAIN_DATA_DIR).rstrip('.png'))\n",
    "    count += 1\n",
    "    if count >= 100:\n",
    "        break"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i in range(20):\n",
    "    plt.subplot(5,4,i+1) # 绘制前20个验证码，以5行4列子图形式展示\n",
    "    plt.tight_layout() # 自动适配子图尺寸\n",
    "    plt.imshow(image[i])\n",
    "    plt.title(\"Label: {}\".format(text[i])) # 设置标签为子图标题\n",
    "    plt.xticks([]) # 删除x轴标记\n",
    "    plt.yticks([]) # 删除y轴标记\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "image = np.array(image, dtype=np.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 60, 160, 3)\n"
     ]
    }
   ],
   "source": [
    "print(image.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 将 RGB 验证码图像转为灰度图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rgb2gray(img):\n",
    "    # Y' = 0.299 R + 0.587 G + 0.114 B \n",
    "    # https://en.wikipedia.org/wiki/Grayscale#Converting_color_to_grayscale\n",
    "    return np.dot(img[...,:3], [0.299, 0.587, 0.114])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "image = rgb2gray(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 60, 160)\n"
     ]
    }
   ],
   "source": [
    "print(image.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[242.928, 242.928, 242.928, ..., 242.928, 242.928, 242.928],\n",
       "       [242.928, 242.928, 242.928, ..., 242.928, 242.928, 242.928],\n",
       "       [242.928, 242.928, 242.928, ..., 242.928, 242.928, 242.928],\n",
       "       ...,\n",
       "       [242.928, 242.928, 242.928, ..., 235.141, 242.928, 242.928],\n",
       "       [242.928, 242.928, 242.928, ..., 242.928, 242.928, 242.928],\n",
       "       [242.928, 242.928, 242.928, ..., 242.928, 242.928, 242.928]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i in range(20):\n",
    "    plt.subplot(5,4,i+1) # 绘制前20个验证码，以5行4列子图形式展示\n",
    "    plt.tight_layout() # 自动适配子图尺寸\n",
    "    plt.imshow(image[i], cmap='Greys')\n",
    "    plt.title(\"Label: {}\".format(text[i])) # 设置标签为子图标题\n",
    "    plt.xticks([]) # 删除x轴标记\n",
    "    plt.yticks([]) # 删除y轴标记\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据规范化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "image = image / 255"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.95265882, 0.95265882, 0.95265882, ..., 0.95265882, 0.95265882,\n",
       "        0.95265882],\n",
       "       [0.95265882, 0.95265882, 0.95265882, ..., 0.95265882, 0.95265882,\n",
       "        0.95265882],\n",
       "       [0.95265882, 0.95265882, 0.95265882, ..., 0.95265882, 0.95265882,\n",
       "        0.95265882],\n",
       "       ...,\n",
       "       [0.95265882, 0.95265882, 0.95265882, ..., 0.92212157, 0.95265882,\n",
       "        0.95265882],\n",
       "       [0.95265882, 0.95265882, 0.95265882, ..., 0.95265882, 0.95265882,\n",
       "        0.95265882],\n",
       "       [0.95265882, 0.95265882, 0.95265882, ..., 0.95265882, 0.95265882,\n",
       "        0.95265882]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 适配 Keras 图像数据格式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_keras_channels(batch, rows=CAPTCHA_HEIGHT, cols=CAPTCHA_WIDTH):\n",
    "    if K.image_data_format() == 'channels_first':\n",
    "        batch = batch.reshape(batch.shape[0], 1, rows, cols)\n",
    "        input_shape = (1, rows, cols)\n",
    "    else:\n",
    "        batch = batch.reshape(batch.shape[0], rows, cols, 1)\n",
    "        input_shape = (rows, cols, 1)\n",
    "    \n",
    "    return batch, input_shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 60, 160, 1)\n",
      "(60, 160, 1)\n"
     ]
    }
   ],
   "source": [
    "image, input_shape = fit_keras_channels(image)\n",
    "print(image.shape)\n",
    "print(input_shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 对验证码中每个字符进行 one-hot 编码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def text2vec(text, length=CAPTCHA_LEN, charset=CAPTCHA_CHARSET):\n",
    "    text_len = len(text)\n",
    "    # 验证码长度校验\n",
    "    if text_len != length:\n",
    "        raise ValueError('Error: length of captcha should be {}, but got {}'.format(length, text_len))\n",
    "    \n",
    "    # 生成一个形如（CAPTCHA_LEN*CAPTHA_CHARSET,) 的一维向量\n",
    "    # 例如，4个纯数字的验证码生成形如(4*10,)的一维向量\n",
    "    vec = np.zeros(length * len(charset))\n",
    "    for i in range(length):\n",
    "        # One-hot 编码验证码中的每个数字\n",
    "        # 每个字符的热码 = 索引 + 偏移量\n",
    "        vec[charset.index(text[i]) + i*len(charset)] = 1\n",
    "    return vec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "text = list(text)\n",
    "vec = [None]*len(text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(vec)):\n",
    "    vec[i] = text2vec(text[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0., 0., 1., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0., 1., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0.])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vec[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'9280'"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "text[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 将验证码向量解码为对应字符"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def vec2text(vector):\n",
    "    if not isinstance(vector, np.ndarray):\n",
    "        vector = np.asarray(vector)\n",
    "    vector = np.reshape(vector, [CAPTCHA_LEN, -1])\n",
    "    text = ''\n",
    "    for item in vector:\n",
    "        text += CAPTCHA_CHARSET[np.argmax(item)]\n",
    "    return text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 模型对 ‘3935’ 验证码推理的输出值\n",
    "yy_vec = np.array([[2.0792404e-10, 4.3756086e-07, 3.1140310e-10, 9.9823320e-01,\n",
    "                    5.1135743e-15, 3.7417038e-05, 1.0556480e-08, 9.0933657e-13,\n",
    "                    2.7573466e-07, 1.7286760e-03, 1.1030550e-07, 1.1852034e-07,\n",
    "                    7.9457263e-10, 3.4533365e-09, 6.6065012e-14, 2.8996323e-05,\n",
    "                    7.6345885e-13, 3.1817032e-16, 3.9540555e-05, 9.9993122e-01,\n",
    "                    5.3814397e-13, 1.2061575e-10, 1.6408040e-03, 9.9833637e-01,\n",
    "                    6.5149628e-08, 5.2246549e-12, 1.1365444e-08, 9.5700288e-12,\n",
    "                    2.2725430e-05, 5.2195204e-10, 3.2457771e-13, 2.1413280e-07,\n",
    "                    7.3547295e-14, 4.4094882e-06, 3.8390007e-07, 9.9230206e-01,\n",
    "                    6.4467136e-03, 3.9224533e-11, 1.2461344e-03, 1.1253484e-07]],\n",
    "                  dtype=np.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "yy = vec2text(yy_vec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = rgb2gray(np.array(Image.open('3935.png')))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.imshow(img, cmap='Greys')\n",
    "plt.title(\"Label: {}\".format(yy)) # 设置标签为图标题\n",
    "plt.xticks([]) # 删除x轴标记\n",
    "plt.yticks([]) # 删除y轴标记\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
